895459680 has 288 divisors, whose sum is σ = 3244419360. Its totient is φ = 224501760.

The previous prime is 895459633. The next prime is 895459699. The reversal of 895459680 is 86954598.

It is a happy number.

895459680 is a `hidden beast` number, since 8 + 9 + 545 + 96 + 8 + 0 = 666.

895459680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711899 + ... + 1712421.

It is an arithmetic number, because the mean of its divisors is an integer number (11265345).

Almost surely, 2^895459680 is an apocalyptic number.

895459680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622209680).

895459680 is an abundant number, since it is smaller than the sum of its proper divisors (2348959680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

895459680 is a wasteful number, since it uses less digits than its factorization.

895459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 895459680 is about 29924.2323209803. The cubic root of 895459680 is about 963.8630797887.

It can be divided in two parts, 89545 and 9680, that added together give a square (99225 = 315²).

The spelling of 895459680 in words is "eight hundred ninety-five million, four hundred fifty-nine thousand, six hundred eighty".